Magnetic curves corresponding to Killing magnetic fields in $E^3$
Simona Luiza Druta-Romaniuc, Marian Ioan Munteanu
TL;DR
This paper explicitly characterizes all magnetic curves in 3D Euclidean space that are generated by Killing magnetic fields, providing a complete classification of such curves.
Contribution
It offers a comprehensive explicit determination of all magnetic curves associated with Killing magnetic fields in Euclidean 3-space, a problem previously not fully solved.
Findings
Complete classification of magnetic curves for Killing magnetic fields
Explicit formulas for the magnetic curves in Euclidean space
Advancement in understanding magnetic trajectories in geometric fields
Abstract
We explicitly determine all magnetic curves corresponding to the Killing magnetic fields on the 3-dimensional Euclidean space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Geometric Analysis and Curvature Flows · Geometry and complex manifolds